I feel like it's unfair to brand someone transphobic who recognises a trans man / woman and a cis man / woman differently.
Studies show that a strong majority of cis gendered people, aren't interested in dating trans people and I find it hard to believe that's all rooted in hate / transphobia rather than their sexuality.
Sport is another area of society where trans and cis people should be considered different.
Equally, I think considering a cis person to be "biologically" their gender but a trans person not to be is transphobic. There's so many examples throughout history and across many regions of non traditional gender roles more closely aligned with transsexuality than homosexuality prior to the existance of reassignment surgery that is enough, for me, to prove it is nust as natural / biological, even if less common, than homosexuality.
In my head I'd consider "Man" and "Woman" as an umbrella term to describe both cis and trans people appropriately. Although I think because the number of trans people is so low it's fair for cis people to not have to expect to specify.
In my opinion, trans people deserve equity but equality across the board, as mentioned, is impossible because of certain areas of society where cis and trans groups have to be treated differently.